Answer
3.5
Work Step by Step
$P(2.5 \leq x \leq a) = 0.5$
$P(2.5 \leq x \leq a) = ∫_{2.5}^{a} f(x).dx$
= $∫_{2.5}^{a} \frac{1}{d-c}.dx$
= $∫_{2.5}^{a} \frac{1}{2}.dx$
= 1/2 (a-2.5)
Since $P(2.5 \leq x \leq a) = 0.5$
(a-2.5)/2 = 0.5
a-2.5 = 1
a = 2.5 + 1 = 3.5
